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Finding the Fourth Proportional to 12,339, 18,508.50 and 3,105

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Solution

The fourth proportional to 12,339, 18,508.50 and 3,105 is: 4,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339 : 18,508.50 = 3,105 : x
  2. Step 2: Convert to fraction form
    12,339/18,508.50 = 3,105/x
  3. Step 3: Cross multiply
    12,339x = 18,508.50 × 3,105
  4. Step 4: Simplify right side
    12,339x = 57,468,892.50
  5. Step 5: Solve for x
    x = 57,468,892.50/12,339
  6. Step 6: Final answer
    x = 4,657.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.